Question

The diameter and height of a cylinder are measured by a meter scale to be 12.6 $\pm$ 0.1 cm and 34.2 $\pm$ 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ?

• A. $4260 \pm 80 \; cm^3$
• B. $4300 \pm 80 \; cm^3$
• C. $4264 \pm 81.0 \; cm^3$
• D. $4260 \pm 81 \; cm^3$

Answer 1

Answer: (A)

$\frac{\Delta V}{V} = 2 \frac{\Delta d}{d} + \frac{\Delta h}{h} = 2\left(\frac{0.1}{12.6}\right) + \frac{0.1}{34.2} $
$ V= 12.6\times\frac{\pi}{4} \times314.2$